Our flesh is dead by the Spirit living in us, so, most of the time, we no longer follow it's desires. ButThat newness is made possible because I no longer fear being a debtor to the now dead "flesh", or condemnation for the sins I repented of, and was washed of, many years ago.
1John2
1 My little children, these things I write to you, that ye may not sin: and if any one may sin, an advocate we have with the Father, Jesus Christ, a righteous one,
2 and he -- he is a propitiation for our sins, and not for ours only, but also for the whole world,
Our flesh is dead by the Spirit but not dead literally because flesh is our vessel, tent we're currently living in, our bodies.